Finding the Third Proportional to 2,004.75 and 4,854.38

Step by Step Solution

1. Step 1: Write the proportion equation
   2,004.75 : 4,854.38 = 4,854.38 : x
2. Step 2: Convert to fraction form
   2,004.75/4,854.38 = 4,854.38/x
3. Step 3: Cross multiply
   2,004.75x = 4,854.38 × 4,854.38
4. Step 4: Simplify right side
   2,004.75x = 23,564,956.64
5. Step 5: Solve for x
   x = 23,564,956.64/2,004.75
6. Step 6: Final answer
   x = 11,754.56